What are some good pedagogical QM papers?

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SUMMARY

This discussion focuses on pedagogical papers and textbooks for graduate-level quantum mechanics (QM) studies. Participants recommend several authoritative texts, including "Cohen-Tannoudji, Diu and Laloe," "Sakurai and Napolitano," and "Landau and Lifshitz," emphasizing their effectiveness in illustrating concepts like angular momentum and harmonic oscillators. The conversation also critiques Ballentine's work, particularly Chapter 9, for its nonstandard approach and misleading content. Bohmian Mechanics is mentioned as a significant development in understanding the measurement problem in non-relativistic quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics fundamentals
  • Familiarity with angular momentum and harmonic oscillators
  • Knowledge of standard quantum mechanics texts
  • Basic comprehension of Bohmian Mechanics
NEXT STEPS
  • Read "Cohen-Tannoudji, Diu and Laloe" for comprehensive insights on angular momentum
  • Explore "Landau and Lifshitz" for foundational quantum mechanics concepts
  • Investigate "Shankar" for practical applications of quantum mechanics
  • Review the survey on foundational issues in QM by Laloe at http://arxiv.org/abs/quant-ph/0209123
USEFUL FOR

Graduate physics students, educators in quantum mechanics, and anyone seeking to deepen their understanding of quantum principles through effective pedagogical resources.

TomServo
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I did a search but couldn't find what I was looking for. I'm a physics student studying QM at the graduate level. I'm aware that "nobody truly understands QM" but I'd like to get as much insight and intuition as possible. Textbooks are good for learning to solve problems and learning the formalisms, but I tried reading a QM paper and felt like I didn't understand any of it. This was the paper, in case you're curious:

http://www.nature.com/nature/journal/v517/n7536/full/nature14091.html

I'd really like to read some papers on experiments that illustrate QM principles and tools, doesn't really matter how old they are since I'm not looking for the most cutting-edge research or findings (although non-archaic notation/terminology would be nice). I'm mainly interested in the papers' pedagogical usefulness for illustrating things like harmonic oscillators, angular momentum (rotation operators, angular momentum addition, spherical harmonics, etc.), symmetries, and what these things are all for.

Thanks!
 
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TomServo said:
My school library has the first edition, is that sufficient?

Yes

Thanks
Bill
 
I do not recommend Ballentine's nonstandard text - in particular, his Chapter 9 is highly misleading. Ballentine has spent his career attacking standard quantum mechanics, which continues to stand as our best theory. Also, it is not true that no one really understand quantum mechanics. The situation changed with the discovery of Bohmian Mechanics, which showed that the measurement problem has at least one solution in the realm of non-relativistic quantum mechanics.

I would stick to any number of a standard texts such the following. Cohen-Tannoudji, Diu and Laloe and Sakurai are probably the best for angular momentum.
Landau and Lifshitz https://www.amazon.com/dp/0750635398/?tag=pfamazon01-20
Cohen-Tannoudi, Diu and Laloe https://www.amazon.com/dp/0471569526/?tag=pfamazon01-20
Sakurai and Napolitano https://www.amazon.com/dp/0805382917/?tag=pfamazon01-20
Weinberg https://www.amazon.com/dp/1107028728/?tag=pfamazon01-20
Nielsen and Chuang https://www.amazon.com/dp/1107002176/?tag=pfamazon01-20
Holevo https://www.amazon.com/dp/3540420827/?tag=pfamazon01-20

A survey foundational issues in QM is given by Laloe: http://arxiv.org/abs/quant-ph/0209123.
 
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atyy said:
I do not recommend Ballentine's nonstandard text - in particular, his Chapter 9 is highly misleading. Ballentine has spent his career attacking standard quantum mechanics, which continues to stand as our best theory. Also, it is not true that no one really understand quantum mechanics. The situation changed with the discovery of Bohmian Mechanics, which showed that the measurement problem has at least one solution in the realm of non-relativistic quantum mechanics.

I would stick to any number of a standard texts such the following. Cohen-Tannoudji, Diu and Laloe and Sakurai are probably the best for angular momentum.
Landau and Lifshitz https://www.amazon.com/dp/0750635398/?tag=pfamazon01-20
Cohen-Tannoudi, Diu and Laloe https://www.amazon.com/dp/0471569526/?tag=pfamazon01-20
Sakurai and Napolitano https://www.amazon.com/dp/0805382917/?tag=pfamazon01-20
Weinberg https://www.amazon.com/dp/1107028728/?tag=pfamazon01-20
Nielsen and Chuang https://www.amazon.com/dp/1107002176/?tag=pfamazon01-20
Holevo https://www.amazon.com/dp/3540420827/?tag=pfamazon01-20

A survey foundational issues in QM is given by Laloe: http://arxiv.org/abs/quant-ph/0209123.

So that's a lot of recommendations, and I thank you for them, but I can tell you right off the bat I don't like most of Sakurai. I think a lot of the descriptions are confusing. It was a half-finished work and it shows (shame he was never able to truly finish the book), with all due respect to those who worked on finishing it.

I like Shankar, which you didn't mention, and I have the first volume of CT. Which of the other books you recommended there would you say are best for learning applications? You know, putting it all together so it's not just a bunch of abstract formalisms but something with physical significance that a student can grasp? Thanks.
 

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